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Finding the Third Proportional to 164,742 and 223,749

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Solution

The third proportional to 164,742 and 223,749 is: 303,891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,742 : 223,749 = 223,749 : x
  2. Step 2: Convert to fraction form
    164,742/223,749 = 223,749/x
  3. Step 3: Cross multiply
    164,742x = 223,749 × 223,749
  4. Step 4: Simplify right side
    164,742x = 50,063,615,001
  5. Step 5: Solve for x
    x = 50,063,615,001/164,742
  6. Step 6: Final answer
    x = 303,891.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.